Abstract: An architectural structure in accordance with the invention comprises at least one substantially planar component in the form of a wall (9, 10, 12, 13, 14, 15, 16), floor or ceiling, the at least one planar component comprising a plurality of identically sized right angled panels A each having the form of a 30°-60°-90° right angled triangles and a plurality of identically sized isosceles panels B each having the form of a 30°-120°-30° isosceles triangle. The invention may provide a building (11) which is constructed from a relatively small selection of prefabricated components, but which provides an architect with a relatively large degree of flexibility in the design of the structure. The invention may also permit a building (11) to be assembled without a binder or other fastenings between the majority of the components and therefore assist in the efficient deconstruction of the building, either at the end of its life or if the building is to be modified or rebuilt.